21233311120 has 480 divisors, whose sum is σ = 63314804736. Its totient is φ = 6581836800.

The previous prime is 21233311093. The next prime is 21233311123. The reversal of 21233311120 is 2111333212.

It is a super-2 number, since 2×21233311120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21233311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198442107 + ... + 198442213.

Almost surely, 2^21233311120 is an apocalyptic number.

21233311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657402368).

21233311120 is an abundant number, since it is smaller than the sum of its proper divisors (42081493616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21233311120 is a wasteful number, since it uses less digits than its factorization.

21233311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21233311120 its reverse (2111333212), we get a palindrome (23344644332).

The spelling of 21233311120 in words is "twenty-one billion, two hundred thirty-three million, three hundred eleven thousand, one hundred twenty".